Hokkaido Mathematical Journal

Kikuchi Hiroaki, Ohta Masahito,

Instability of standing waves for the Klein-Gordon-Schrödinger system.

Hokkaido Mathematical Journal, 37 (2008) pp.735-748

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Abstract

We study the orbital instability of standing wave solutions for the Klein-Gordon-Schrödinger system in three space dimensions. It is proved that the standing wave is unstable if the frequency is sufficiently small.

MSC(Primary)35Q55
MSC(Secondary)35B35
Uncontrolled KeywordsKlein-Gordon-Schrödinger, standing waves, instability.